Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074h |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13891584 |
Modular degree for the optimal curve |
Δ |
1.3016056881075E+26 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-859017682,-9675126653980] |
[a1,a2,a3,a4,a6] |
j |
591139158854005457801/1097587482427392 |
j-invariant |
L |
1.7849556997262 |
L(r)(E,1)/r! |
Ω |
0.027889932808222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222br1 19074d1 |
Quadratic twists by: -3 17 |